Question 460833
Radical expressions are pretty self-explanatory, expressions with radicals in them. The process is quite similar to adding other things, but you have to make sure you add like terms and know when to simplify such an expression. For example,


*[tex \LARGE \sqrt{20}\sqrt{2} + 3\sqrt{10} - \frac{\sqrt{180}}{\sqrt{18}}]


(I picked an example that would use all four arithmetic operations and would simplify easily).


We multiply *[tex \sqrt{20}\sqrt{2}] to get *[tex \sqrt{40}] which is equal to *[tex 2\sqrt{10}]. The quantity *[tex \frac{\sqrt{180}}{\sqrt{18}}] is equal to *[tex \frac{\sqrt{18}\sqrt{10}}{\sqrt{18}} = \sqrt{10}]. Thus the entire expression is equal to


*[tex \LARGE 2\sqrt{10} + 3\sqrt{10} - \sqrt{10} = 4\sqrt{10}] (all terms are like so we add their coefficients).